| Description |
1 online resource (xvi, 451 pages) : illustrations |
| Series |
Interdisciplinary applied mathematics ; v. 33 |
|
Interdisciplinary applied mathematics ; v. 33.
|
| Contents |
Background in physics -- Geometrization of Hamiltonian dynamics -- Integrability -- Geometry and chaos -- Geometry of chaos and phase transitions -- Topological hypothesis on the origin of phase transitions -- Geometry, topology and thermodynamics -- Phase transitions and topology: necessity theorems -- Phase transitions and topology: exact results -- Future developments -- Appendix A: Elements of geometry and topology of differentiable manifolds -- Appendix B: Elements of Riemannian geometry -- Appendix C: Summary of elementary Morse theory |
| Summary |
"This book explores the foundations of Hamiltonian dynamical systems and statistical mechanics, in particular phase transitions, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide an overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author guides the reader, whether mathematician or physicist, through the background needed to understand and use these techniques."--Jacket |
| Bibliography |
Includes bibliographical references and indexes |
| Notes |
English |
|
Print version record |
| In |
Springer e-books |
| Subject |
Hamiltonian systems.
|
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Statistical mechanics.
|
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Mathematics.
|
|
mathematics.
|
|
applied mathematics.
|
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MATHEMATICS -- Differential Equations -- General.
|
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Statistical mechanics.
|
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Hamiltonian systems.
|
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Sistemas de Hamilton
|
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Mecánica estadística
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Hamiltonian systems
|
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Statistical mechanics
|
| Form |
Electronic book
|
| ISBN |
9780387499574 |
|
0387499571 |
|
9780387308920 |
|
038730892X |
|
1441921648 |
|
9781441921642 |
|
